-7(5-6x)=-3(3x-3)-401

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Solution for -7(5-6x)=-3(3x-3)-401 equation: 


Simplifying
-7(5 + -6x) = -3(3x + -3) + -401
(5 * -7 + -6x * -7) = -3(3x + -3) + -401
(-35 + 42x) = -3(3x + -3) + -401

Reorder the terms:
-35 + 42x = -3(-3 + 3x) + -401
-35 + 42x = (-3 * -3 + 3x * -3) + -401
-35 + 42x = (9 + -9x) + -401

Reorder the terms:
-35 + 42x = 9 + -401 + -9x

Combine like terms: 9 + -401 = -392
-35 + 42x = -392 + -9x

Solving
-35 + 42x = -392 + -9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9x' to each side of the equation.
-35 + 42x + 9x = -392 + -9x + 9x

Combine like terms: 42x + 9x = 51x
-35 + 51x = -392 + -9x + 9x

Combine like terms: -9x + 9x = 0
-35 + 51x = -392 + 0
-35 + 51x = -392

Add '35' to each side of the equation.
-35 + 35 + 51x = -392 + 35

Combine like terms: -35 + 35 = 0
0 + 51x = -392 + 35
51x = -392 + 35

Combine like terms: -392 + 35 = -357
51x = -357

Divide each side by '51'.
x = -7

Simplifying
x = -7

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